2.1825   ODE No. 1825

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ f(x)+y''(x) h\left (y'(x)\right )+j(y(x)) y'(x)=0 \] Mathematica : cpu = 0.0367427 (sec), leaf count = 0 , could not solve

DSolve[f[x] + j[y[x]]*Derivative[1][y][x] + h[Derivative[1][y][x]]*Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 1.306 (sec), leaf count = 49

\[\{y \left (x \right ) = \mathit {ODESolStruc} \left (\textit {\_f} \left (\textit {\_b} \right ), \left [\left \{\textit {\_b} f +c_{1}+\int _{}^{\textit {\_f} \left (\textit {\_b} \right )}1d \textit {\_a} +\int _{}^{\frac {d}{d \textit {\_b}}\textit {\_f} \left (\textit {\_b} \right )}h \left (\textit {\_a} \right )d \textit {\_a} =0\right \}, \left \{\textit {\_b} =x , \textit {\_f} \left (\textit {\_b} \right )=y \left (x \right )\right \}, \left \{x =\textit {\_b} , y \left (x \right )=\textit {\_f} \left (\textit {\_b} \right )\right \}\right ]\right )\}\]